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Finding the Fourth Proportional to 824.87, 1,138.19 and 470.73

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Solution

The fourth proportional to 824.87, 1,138.19 and 470.73 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.87 : 1,138.19 = 470.73 : x
  2. Step 2: Convert to fraction form
    824.87/1,138.19 = 470.73/x
  3. Step 3: Cross multiply
    824.87x = 1,138.19 × 470.73
  4. Step 4: Simplify right side
    824.87x = 535,781.36
  5. Step 5: Solve for x
    x = 535,781.36/824.87
  6. Step 6: Final answer
    x = 649.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.